GCF of 6855/144, 1976/7713
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6855/144, 1976/7713 i.e 1/123408 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6855/144, 1976/7713.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
What is the GCF of 6855/144,1976/7713?
Given fractions are 6855/144,1976/7713
To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by
GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators
In the fractions 6855/144,1976/7713, numerators are 6855,1976
Denominators are 144,7713
The GCF of 6855,1976 is 1 .
LCM of 144,7713 is 123408.
The greatest common factor of 6855/144,1976/7713 = [GCF of 6855,1976]/[LCM of 144,7713]= 1/123408
Therefore, the GCF of 6855/144,1976/7713 is 1/123408.
To find the highest common factor of 6855,1976, we have to find the factors of both numbers and list the highest common factor.
The factors of 6855 are 1, 3, 5, 15, 457, 1371, 2285, 6855
The factors of 1976 are 1, 2, 4, 8, 13, 19, 26, 38, 52, 76, 104, 152, 247, 494, 988, 1976
The HCF of 6855,1976 is 1.
Lets's calculate GCF of 6855,1976
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6855,1976 By Matching Biggest Common Factor Method
Now, list down the factors of 6855
:1,3,5,15,457,1371,2285,6855
Now, list down the factors of 1976
:1,2,4,8,13,19,26,38,52,76,104,152,247,494,988,1976
Greatest Common Factor
We found the factors 6855,1976 . The biggest common factor number is the GCF number.
So the greatest common factor 6855,1976 is 1.
Lets's calculate LCM of 144,7713
| 3 | 144, 7713 |
| 3 | 48, 2571 |
| 16, 857 |
∴ So the LCM of the given numbers is 3 x 3 x 16 x 857 = 123408
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/123408
Therefore, the GCF of Fractions 6855/144,1976/7713 is 1/123408
Least Common Multiple of 144,7713 with GCF Formula
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 144,7713 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(144,7713) = 9
common factors(in case of two or more numbers have common factors) = 1
GCF(144,7713) x common factors =9 x 1 = 9
LCM(144,7713) = ( 144 × 7713 ) / 9
LCM(144,7713) = 1110672 / 9
LCM(144,7713) = 123408
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 6855/144, 1976/7713
1. What is the HCF of 6855,1976?
The HCF of 6855,1976 is 1
2. What is the GCF of a fraction?
The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.
3. How to find GCF in Fractions?
Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.
4. What is the GCF of Fractions for 6855/144, 1976/7713?
Answer: GCF of Numerators as per given numbers 6855/144, 1976/7713 is
GCF of Numerators i.e. for 6855,1976 is 1
LCM of denominators i.e. for 144,7713 is 123408.
Thus, GCF of Fractions is 1/123408.Finally, GCF of Fractions for 6855/144, 1976/7713 is 1/123408.